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Year 8 Index Laws Worksheet — Level 1 (Set 2) — Answers

Answer sheet with worked solutions for the Year 8 indices & scientific notation worksheet.

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Indices & Scientific Notation

Year 8 Index Laws Worksheet — Level 1 (Set 2) — Answers

Use the index laws. Write answers with positive indices.

1.Simplify: x4 × x5

Answer: x9

Add the indices: 4 + 5 = 9

2.Simplify: x12 ÷ x6

Answer: x6

Subtract the indices: 12 − 6 = 6

3.Simplify: x9 ÷ x7

Answer: x2

Subtract the indices: 9 − 7 = 2

4.Simplify: x12 ÷ x9

Answer: x3

Subtract the indices: 12 − 9 = 3

5.Simplify: x2 × x7

Answer: x9

Add the indices: 2 + 7 = 9

6.Simplify: x3 × x5

Answer: x8

Add the indices: 3 + 5 = 8

7.Simplify: x7 × x4

Answer: x11

Add the indices: 7 + 4 = 11

8.Simplify: x3 × x2

Answer: x5

Add the indices: 3 + 2 = 5

9.Simplify: x8 × x6

Answer: x14

Add the indices: 8 + 6 = 14

10.Simplify: x5 × x7

Answer: x12

Add the indices: 5 + 7 = 12

11.Simplify: x7 × x9

Answer: x16

Add the indices: 7 + 9 = 16

12.Simplify: x10 ÷ x2

Answer: x8

Subtract the indices: 10 − 2 = 8

13.Simplify: x6 × x2

Answer: x8

Add the indices: 6 + 2 = 8

14.Simplify: x9 ÷ x5

Answer: x4

Subtract the indices: 9 − 5 = 4

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